Question

Given that measure angle AEB equals 4x+1 and measure angle CED equals 3x, determine the missing measures.

Answer 1

• <AEB=<CED

`\\ \rm{:}\dashrightarrow 4x+1=3x`

`\\ \rm{:}\dashrightarrow 4x-3x=1`

`\\ \rm{:}\dashrightarrow x=1`

Now

`\\ \rm{:}\dashrightarrow 3x=3(1)=3`

`\\ \rm{:}\dashrightarrow 4x+1=4(1)+1=5`

Answer 2

AEB = -3

CED = -3

Explanation:

We can make an equation and solve for x.

4x + 1 = 3x

~Subtract 1 to both sides

4x = 3x - 1

~Subtract 3x to both sides

x = -1

Now we can substitute that value of x into both angles.

4(-1) + 1 = -4 + 1 = -3

3(-1) = -3

Best of Luck!